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A simple method to impose rotations and concentrated moments on ANC beams

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Abstract

Recently introduced ANC beam elements furnish a simple formulation that allows to solve nonlinear problems of beams, including those with large displacements and strains, as well as complex nonlinear (inelastic) materials. The success and simplicity of these finite elements is mainly due to the fact that the only nodal degrees of freedom that they employ are displacements, and rotations are thus completely avoided. This in turn makes it very difficult to apply concentrated moments or to impose rotations at specific nodes of a finite element mesh. In this article, we present a simple enhancement to this beam formulation that allows to apply these two types of boundary conditions in a simple manner, making ANC beam elements more versatile for both multibody and structural applications.

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Authors and Affiliations

  1. Computational Mechanics Group, E. T. S. I. Industriales, Universidad Politécnica de Madrid, Madrid, Spain

    Ignacio Romero

  2. Computational Mechanics Group, E. T. S. I. de Caminos, Canales y Puertos, Universidad Politécnica de Madrid, Madrid, Spain

    Juan J. Arribas

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  1. Ignacio Romero
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  2. Juan J. Arribas
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Correspondence to Ignacio Romero.

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Romero, I., Arribas, J.J. A simple method to impose rotations and concentrated moments on ANC beams. Multibody Syst Dyn 21, 307–323 (2009). https://doi.org/10.1007/s11044-008-9140-4

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  • DOI: https://doi.org/10.1007/s11044-008-9140-4

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